205936848 has 120 divisors (see below), whose sum is σ = 647791872. Its totient is φ = 60597504.

The previous prime is 205936823. The next prime is 205936867. The reversal of 205936848 is 848639502.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 40665 + ... + 45447.

Almost surely, 2^205936848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 205936848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (323895936).

205936848 is an abundant number, since it is smaller than the sum of its proper divisors (441855024).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

205936848 is a wasteful number, since it uses less digits than its factorization.

205936848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4833 (or 4824 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 205936848 is about 14350.4999216055. The cubic root of 205936848 is about 590.5337007444.

The spelling of 205936848 in words is "two hundred five million, nine hundred thirty-six thousand, eight hundred forty-eight".